Use FQDN in HA /etc/sysconfig/network?

In /etc/sysconfig/network on our HA system it says:

# Modified by FreePBX HiAv
# It is critical that you DO NOT CHANGE THE HOSTNAME OF THIS MACHINE
# Changing the hostname will cause the cluster to fail.
NETWORKING=yes
HOSTNAME=freepbx-a
GATEWAY=10.44.1.254
# We're not joking about not changing the hostname. Don't change it
# End Config

So it seems changing the hostname is a bad idea, but can a domain be added to make it a FQDN like freepbx-a.mydomain.com?